Change in Tandem
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
What is the derivative of
sin
2
(
x
)
\sin^2(x)
sin
2
(
x
)
using the Chain Rule?
QUESTION
Determine
d
d
x
(
ln
(
x
2
)
)
\frac{d}{dx}(\ln(x^2))
d
x
d
(
ln
(
x
2
))
.
QUESTION
Find the derivative of
e
3
x
e^{3x}
e
3
x
.
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ANSWER
3
e
3
x
3e^{3x}
3
e
3
x
. Chain rule: derivative of
e
u
e^u
e
u
is
e
u
⋅
u
′
e^u \cdot u'
e
u
⋅
u
′
, where
u
=
3
x
u = 3x
u
=
3
x
.
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